58,962,001

7 × 17 × 313 × 1583

58,962,001 factors as 7 × 17 × 313 × 1583. Its 16 positive divisors give a proper-divisor sum of 12,660,143, so this integer is deficient. The Collatz stopping time is 132 steps.

Prime Factor Structure

Factorization String 7 × 17 × 313 × 1583

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 71,622,144

Proper Divisor Sum 12,660,143

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #58961989 ← → #58962011

Radix Representation

Decimal	58962001
Binary	11100000111011000001010001 (26 bits)
Octal	0o340730121
Hexadecimal	0x383B051

Divisor Catalog (16)

1 7 17 119 313 1,583 2,191 5,321 11,081 26,911 37,247 188,377 495,479 3,468,353 8,423,143 58,962,001

Collatz Trajectory (132 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

58,962,001 176,886,004 88,443,002 44,221,501 132,664,504 66,332,252 33,166,126 16,583,063 49,749,190 24,874,595 74,623,786 37,311,893 111,935,680 55,967,840 27,983,920 13,991,960 6,995,980 3,497,990 1,748,995 5,246,986 2,623,493 7,870,480 3,935,240 1,967,620 983,810 491,905 1,475,716 737,858 368,929 1,106,788 553,394 276,697 830,092 415,046 207,523 622,570 311,285 933,856 466,928 233,464 116,732 58,366 29,183 87,550 43,775 131,326 65,663 196,990 98,495 295,486 147,743 443,230 221,615 664,846 332,423 997,270 498,635 1,495,906 747,953 2,243,860

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